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3 years ago

How many ways are there to pick first a vowel and then a consonant from the word SIMULTANEOUS?

Mathematics

2 answers:

motikmotik3 years ago

5 0

Answer:

Step-by-step explanation:

IM UL AN

SIMULTANEOUS

Finger [1]3 years ago

4 0

Answer

There are 36 different ways.

Step-by-step explanation:

Vowels: A, e, i, o and u. Consonant: every other letter. Simultaneous has 12 letters total; 6 of which are vowels, the other 6 are consonants. Thus 6x6 or 6^2.

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Verify the identity

Thepotemich [5.8K]

<u>Given</u>:

Given that we need to prove the identity $\sin x+\sin x \tan ^{2} x=\tan x \sec x$

<u>Proof</u>:

Step 1: Factor out the common term sin x, we get;

$\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x$

Step 2: Using the identity $1+tan^2 x=sec^2x$

$\sin x \sec ^{2} x=tan \ x \ sec \ x$

Step 3: Reciprocating sec x, we get;

$\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x$

Step 4: Splitting the denominator, we have;

$\frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}=tan \ x \ sec \ x$

Simplifying, we get;

$\tan x \sec x=\tan x \sec x$

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